
It is shown that there exist real analytic real hypersurfaces in C n {{\mathbf {C}}^n} which cannot be locally holomorphically imbedded in any finite dimensional sphere S 2 N − 1 ⊂ C 2 N {S^{2N - 1}} \subset {{\mathbf {C}}^{2N}} .
Local submanifolds, non-imbeddability, Real submanifolds in complex manifolds, hypersurface
Local submanifolds, non-imbeddability, Real submanifolds in complex manifolds, hypersurface
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